Resolva a seguinte inequação, para $0\le x<2\pi$: $$\frac{3\cdot {\mathrm{sen}}^{2}x+2\cdot {\cos }^{2}x+4\cdot \mathrm{sen}x-(1+4\sqrt{2})\cdot \mathrm{sen}x\cdot \cos x+4\cdot \cos x–(2+2\sqrt{2})}{2\cdot \mathrm{sen}x–2\sqrt{2}\cdot \mathrm{sen}x\cdot \cos x+2\cdot \cos x-\sqrt{2}}>2$$